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Alex777 [14]
3 years ago
14

The graph of f(x) = |x| is transformed to g(x) = |x + 1| – 7. On which interval is the function decreasing?

Mathematics
2 answers:
timofeeve [1]3 years ago
5 0

Answer:

g is decreasing for all x less than or equal to -1

Step-by-step explanation:

The graph of the function y = |x| looks like a "vee."

g(x) = |x + 1| - 7 moves that graph 1 unit to the <u>left</u><em> </em>(I know, it looks backwards!) and down 7 units. See attached image.

Function g(x) is decreasing for all x \le -1.

mihalych1998 [28]3 years ago
4 0

Answer:

on edg3

Step-by-step explanation:

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A person has a bag containing quarters and dimes. There are a total of 61 coins in the bag, and the total value of the coins is
77julia77 [94]

Answer:

Q+D = 65, multiply both sides by 2525Q + 25D = 162525Q + 10D = 950  subtract to get            15D = 675               D = 675/15 = 135/3 = 45 dimes               Q = 65-45 = 20 quarters25(20) + 10(45) = 500+450 = 950

6 0
2 years ago
Which expression is equivalent to (7x+9y)2
Arada [10]

Answer:

49x^2+126xy+81y^2

Step-by-step explanation:

Use the square of a binomial theorem

(a+b)^2= a^2+2ab+b^2

Now expand the given equation:

(7x+9y)^2=49x^2+126xy+81y^2

Hope this helps :)

Have a great day!

6 0
3 years ago
A sample of 10 adult elephants had an average weight of 12,556 pounds. The standard deviation
kirill [66]

Answer:

The 99% confidence interval of the population mean for the weights of adult elephants is between 12,475 pounds and 12,637 pounds.

Step-by-step explanation:

We have the standard deviation for the sample, so we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 10 - 1 = 9

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 9 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.99}{2} = 0.995. So we have T = 3.25

The margin of error is:

M = T*s = 3.25*25 = 81

In which s is the standard deviation of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 12,556 - 81 = 12,475 pounds

The upper end of the interval is the sample mean added to M. So it is 12,556 + 81 = 12,637 pounds.

The 99% confidence interval of the population mean for the weights of adult elephants is between 12,475 pounds and 12,637 pounds.

6 0
3 years ago
Use the drop-down menus to complete the statements about the function p(x) = x(x – 1) + 1. The value of a is . The value of b is
Ludmilka [50]

Answer: The value of a is 1. The value of b is -1. The value of c is 1. The value of the discriminant is -3. The quadratic function will not intersects the  x-axis.

Explanation:

The standard form of a quadratic equation is,

p(x)=ax^2+bx+c

The given function is,

p(x)=x(x-1)+1

It can be written as,

p(x)=x^2-x+1

By comparing this equation with the standard form of quadratic equation. we get,

a=1

b=-1

c=1

The formula for discriminant is,

D=b^2-4ac

D=(-1)^2-4(1)(1)

D=1-4

D=-3

The value of the discriminant is -3.

If D<0, it means the function have no real roots.

If D=0, it means function have one real roots.

If D>0, it means function have two real roots.

Since D<0 it means the function have no real roots. So the function will not intersect the x-axis at any point.

8 0
3 years ago
Read 2 more answers
I need these answered fast can anyone help. will give you brainliest.
bezimeni [28]

there is four lines of symmetry and yes angles ABC and DEF are ridget motion. the ridget moition is four units to the left and three units down. I hope this helps!!!

3 0
3 years ago
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